A laboratory is testing a product by heating or cooling it at different rates. The table shows the results of four tests. Drag a number to each empty cell to complete the table.

Answer:

12/18 = 4/6

Step-by-step explanation:

Answer:

x²+2x+7-21=0

x²+2x-14. =0

x²+2x. =14

x²+2x+1. =14+1

(X+1)². =15

X+1. =+/-√15

X=-1+/-√15

X=-1+3.872983346207

=2.872983346207(greatest solution) round it as possible

X=-1-3.872983346207

=-4.872983346207

Okey, here we need to find the value of a conditional probability, so we have:

There are 27 large orders in a total of 100 large orders, and adicionally now we focus on those who have asked for larges where are 5 orders cold in a total of 27 larges orders.

Finally we obtain that the probability rounded to the nearest percent will be a 5%.

The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.

For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:

dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.

For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.

We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:

-y^(-2)dy/dx + (-1/x - 5y^2) = 0.

We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.

Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.

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We have to identify the line that passes through points (-3,-23) and (5,9).

We can calculate the slope of the line as:

Then, we can write the equation in slope-point form as:

The equation of the line is y - 9 = 4(x - 5).

Answer: None of the other answers are correct

The quadratic binomial in discuss as described in the task content is; 3x² - 7.

It follows from the task content that the expression in discuss is a quadratic binomial. In essence, there are only 2 terms.

Therefore, the expression should takes the form; ax² + b.

However, since the leading coefficient, a is said to be 3 and the constant, b is said to be -7; we have that;

3x² - 7.

Ultimately, the quadratic binomial is; 3x² - 7.

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Answer:

Given:- r - 3 Meter

h - 5 Meter

rate - 108$ Per M³

Sol:

Volume of Cylindrical Concrete Pillar= V = πr²h

V = 3.14×3×3×5 (π = 3.14)

Volume ≈ 141.37

Cost of Concrete pillar = 108$/m³

Cost = 108 × 141.37

Cost of Making Cylindrical Concrete pillar= $15,267.96

Answer:

Below

Step-by-step explanation:

281.6x20%= 56.32

281.6+56.31=337.91

337.91x12%=40.55

337.91+40.55=378.46

The count of numbers in the list a, a+1, a+2.... b is b - a + 1

The list of numbers is given as:

a, a+1, a+2.... b

From the above list, we can see that the numbers are consecutive numbers.

This means that, the count of numbers in the list is

Count = Highest - Least + 1

Where

Highest = b

Least = a

Substitute the known values in the above equation

Count = b - a + 1

Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1

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Answer:

A. 5/12

Explanation:

The number of red balls = 3

The number of white balls = 4

The number of black balls = 5

Therefore, the probability of getting one black ball will be:

The correct choice is A.

Answer:

i dont know mabey some one else knows

The solution has been explained below.

We will use the following equation, x² + y² = 81, where x and y are the pool's dimensions in feet, to determine the necessary estimations for the pool project.

1. Calculate the pool's diameter and radius:

We can infer that the radius of the pool is equal to the square root of 81 because the equation depicts a circle. As a result, r = 81 = 9 ft.

The pool's diameter is simply equal to twice its radius, or d = 2r = 18 feet.

2. Calculate the amount of water in the pool:

Since the pool is 4 feet high, we can determine its volume by multiplying the area of its circle-shaped base by the height.

The formula A = πr² can be used to calculate the area of the pool's base,

Therefore, V = Ah = πr²h = 1017.87 cubic feet represents the volume of water in the pool.

3. Determine the pool's total material cost:

There are 7.48 gallons in a cubic foot and a gallon of water costs $0.22.

As a result, Cw = V × 7.48 × 0.22 = 1017.87 × 7.48 × 0.22 = $1,619.72 is the entire cost of water for the pool.

If the radius of the pool is $185 per foot, then the cost of the materials is Cm = r × 185 = 9 × 185 = $1,665.

4. Calculate the pool's total labour hours:

A pool's construction is estimated to take 2.5 hours for every foot of its radius.

So, L = r × 2.5 = 9 × 2.5 = 22.5 hours of labour would be needed to complete this pool.

5. Calculate the total cost of labour for the project:

If you pay someone $19 per hour, Cl = L × 19 = 22.5 × 19 = $427.5.

6. Find the project's overall cost:

The project's overall cost is the product of its labour and material costs:

Cost as a whole equals Cm + Cw + Cl, which is 1,665 + 1,619.72 + 427.5, or $3,712.22.

In conclusion, the pool has an 18-foot diameter and a 9-foot radius according to the supplied equation. There are roughly 1017.87 cubic feet of water in the pool. Water and building supplies are included in the pool's projected material cost of $3,284.72. 22.5 hours of labour in total are needed, with a labour cost estimate of $427.5. Consequently, $3,712.22 is the expected final cost of the pool renovation.

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Answer:

116 / 45

Step-by-step explanation:

To add fractions with unlike denominators, we need to find their common denominator.

One way to do this is by finding the least common multiple (LCM) of the denominators.

The LCM of 3, 5, 9 and 15 is 45.

We then convert each fraction so that its denominator is 45:

1/3 = 15/45

3/5 = 27/45

7/9 = 35/45

13/15 = 39/45

Now we can add the fractions:

15/45 + 27/45 + 35/45 + 39/45

To simplify, we can add the numerators and keep the common denominator:

(15 + 27 + 35 + 39) / 45

Which gives us:

116 / 45

Therefore, the sum of the fractions 1/3 + 3/5 + 7/9 + 13/15 is, 116 / 45.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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30 7/40

Step-by-step explanation:

12 4/5 + 17 3/8

Answer:

answer is in the img below

Step-by-step explanation:

brainliest plzzz

Answer:

A) x= -7 or x = 6

Step-by-step explanation:

e2021

The variability of the mean is 0.154

The total of all values divided by all of the values constitutes the result of a set, also called as the arithmetic mean. It is considered to be the most popular central trend indicator, and the word "mean" is commonly used to describe it. The average of a figure is known to as the average.

We are Given a normal distribution, the MAD and standard deviation (SD) are roughly inversely proportional to one another as follows:

=> MAD = 1.4826 × SD

Here we can calculate the standard deviation as follows:

=> SD = MAD / 1.4826

Since the MAD in this instance is provided as 3.2,

=> SD ≈ 3.2 / 1.4826 ≈ 2.16

The standard error of the mean (SEM), can be determined as follows, then gives the variability of the mean.

=> SEM ≈ SD / sqrt(n)

=> CV Equals SD/mean

2.16 / 14 ≈ 0.154

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Answer:

you didn't give any options, I could simplify it... but that doesn't show which expression is equivalent.

Step-by-step explanation:

Answer:

–2x – 4?

Step-by-step explanation:

The segment lengths are given as follows:

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:

BD² = 7 x 7

BD² = 7²

BD = 7.

The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:

(BC)² = 7² + 7²

\(BC = \sqrt{2 \times 49}\)

\(BC = 7\sqrt{2}\)

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The statement given in the question about determining probability density function is True.

Given a continuous random variable X with cumulative distribution function F(x), the probability density function (pdf) f(x) can be obtained by taking the derivative of F(x), that is: f(x) = dF(x)/dx. This relationship is known as the fundamental theorem of calculus, and it allows us to express the pdf in terms of the cumulative distribution function. Conversely, if we have the pdf of a continuous random variable, we can obtain its cumulative distribution function by integrating the pdf over its support, that is: F(x) = ∫f(u) du from -∞ to x. This relationship is also known as the cumulative distribution function (CDF) of the continuous random variable X.

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Complete Question

you can determine the probability density function of a continuous random variable by taking the derivative of the cumulative distribution function. State whether the statement is True or False.

When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Answer:

C.

Step-by-step explanation:

Plug it in:

\(\frac{58+48+24+156}{324} =0.88271604049=0.883\)

the segment is 4 units long

hope this helps

Using DeMoivre’s theorem, the answer in regular form would be (5 + 5√3i)⁷ = -5000000 + 8660254.03i

The De Moivre's Theorem is used to simplify the computation of powers and roots of complex numbers and is used in together with polar form.

Convert the complex number to polar form. The polar form of a complex number is z = r(cos θ + isin θ),

r = |z|  magnitude of z

it becomes

r = √((5)² + (5√3)²) = 10

θ = arg(z) is the argument of z.

θ = atan2(b, a) = atan2(5√3, 5) = π/3

(5 + 5√3i) = 10 × (cos π/3 + i sin π/3)

De Moivre's theorem to raise the complex number to the 7th power

(5 + 5√3i)⁷

= 10⁷× (cos 7π/3 + i sin 7π/3)

= 10⁷ × (cos 2π/3 + i sin 2π/3)

Convert this back to rectangular form:

Real part = r cos θ = 10⁷× cos (2π/3) = -5000000

Imaginary part = r sin θ = 10⁷ × sin (2π/3) = 5000000√3 = 8660254.03i

∴  (5 + 5√3i)⁷ = -5000000 + 8660254.03i

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Answer:10^7 (1/2 - √3/2 i)

Step-by-step explanation:

To use DeMoivre's theorem, we first need to write the number in polar form. Let's find the magnitude and argument of the number:

Magnitude:

|5 + 5√(3i)| = √(5^2 + (5√3)^2) = √(25 + 75) = √100 = 10

Argument:

arg(5 + 5√(3i)) = tan^(-1)(√3) = π/3

So the number can be written in polar form as:

5 + 5√(3i) = 10(cos(π/3) + i sin(π/3))

Now we can use DeMoivre's theorem:

(5 + 5√(3i))^7 = 10^7 (cos(7π/3) + i sin(7π/3))

To simplify, we need to find the cosine and sine of 7π/3:

cos(7π/3) = cos(π/3) = 1/2

sin(7π/3) = -sin(π/3) = -√3/2

Explanation:

So the final answer in rectangular form is:

10^7 (1/2 - √3/2 i)

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

No, (x-4) is not a factor of f(x) = x³ - 2x² + 5x + 1.

Step-by-step explanation:

To determine whether (x-4) is a factor of a polynomial, we can try to divide the polynomial by (x-4) using polynomial long division. If the division is successful and the remainder is zero, then (x-4) is a factor of the polynomial.

If we divide f(x) by (x-4) using polynomial long division, we get:

x³ - 2x² + 5x + 1

(x-4)

   x² - 4x

      x² + x

         x + 4

         -----

           x + 3

Since the remainder is not zero, (x-4) is not a factor of f(x).

Answer:

24

Step-by-step explanation:

2x3x4. height is 2 length is 4 and width is 3 in term of cube length

Answer:

24

Step-by-step explanation:

just follow these steps

4x3x2=

Answer:

The balance in the account after 3 years is approximately $2313.94.

Step-by-step explanation:

The formula for calculating the balance in a continuously compounded account is:

B = Pe^(rt)

Where:

B = balance

P = principal

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

Using the given values, we have:

P = $2000

r = 0.051 (5.1% expressed as a decimal)

t = 3

Plugging these values into the formula, we get:

B = 2000e^(0.051*3)

B = 2000e^(0.153)

B = $2313.94 (rounded to the nearest cent)

Therefore, the balance in the account after 3 years is approximately $2313.94.